Algebra Regents

Question 1

What is the value of x in the equation 2x + 3 = 11?

Answer 1

x = 4

Question 2

True or False: The quadratic formula is used to find the roots of a linear equation.

Answer 2

False

Question 3

Fill in the blank: The slope-intercept form of a line is _____ = mx + b.

Answer 3

y

Question 4

What is the standard form of a quadratic equation?

Answer 4

ax^2 + bx + c = 0

Question 5

Which of the following is a solution to the equation x^2 - 5x + 6 = 0? (a) 2 (b) 3 (c) 4 (d) Both (a) and (b)

Answer 5

d

Question 6

True or False: The distributive property states that a(b + c) = ab + ac.

Answer 6

True

Question 7

What is the vertex form of a quadratic function?

Answer 7

y = a(x - h)^2 + k

Question 8

Fill in the blank: The solution set of an equation is the set of _____ that satisfy the equation.

Answer 8

values

Question 9

What is the method called for solving systems of equations by graphing?

Answer 9

Graphical method

Question 10

What is the formula for the area of a triangle?

Answer 10

Area = 1/2 * base * height

Question 11

True or False: A polynomial of degree 3 is called a quadratic polynomial.

Answer 11

False

Question 12

What is the axis of symmetry for the parabola given by the equation y = x^2 + 4x + 4?

Answer 12

x = -2

Question 13

Identify the term: The highest power of a variable in a polynomial.

Answer 13

Degree

Question 14

Which operation is performed first in the expression 3 + 2 * 5?

Answer 14

Multiplication

Question 15

What is the solution to the inequality 3x - 5 < 4?

Answer 15

x < 3

Question 16

Fill in the blank: A function is a relation where each input has _____ output.

Answer 16

exactly one

Question 17

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Answer 17

m = (y2 - y1) / (x2 - x1)

Question 18

True or False: The sum of the angles in a triangle is always 180 degrees.

Answer 18

True

Question 19

What is the term for the point where a line crosses the y-axis?

Answer 19

Y-intercept

Question 20

What is the result of factoring the expression x^2 - 9?

Answer 20

(x - 3)(x + 3)

Question 21

What is the product of the roots of the quadratic equation ax^2 + bx + c = 0?

Answer 21

c/a

Question 22

Fill in the blank: The _____ of a function is the set of all possible outputs.

Answer 22

range

Question 23

Which of the following is a characteristic of a linear function? (a) It has a constant rate of change (b) It forms a curve (c) It can have multiple y-values for one x-value

Answer 23

a

Question 24

What is the solution set of the equation 2x - 8 = 0?

Answer 24

x = 4